Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 26)
26.
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
23 m
23 2 m
9
27 7 m
9
29 m
Answer: Option
Explanation:

Relative speed = (40 - 20) km/hr = ( 20 x 5 ( m/sec = ( 50 ( m/sec.
18 9

Therefore Length of faster train = ( 50 x 5 ( m = 250 m = 27 7 m.
9 9 9

Discussion:
72 comments Page 6 of 8.

Gargi said:   1 decade ago
Hey guys Haritha was right! It's also not clear to me.

Haritha said:   1 decade ago
Could anyone please explain me clearly?

Haritha said:   1 decade ago
Hi guys but the train crosses a man who is sitting in the train but not the one who is standing simply. Also he might be sitting in middle or some where else we have to calculate the distance from which the man is sitting. Isn't it?

Arun said:   1 decade ago
Hi subha... @ not like dat ma...dats in d case if d faster train crosses d slower train... But in dis case d train just crosses a man(which may be considered as a point)....

Alu said:   1 decade ago
What is that 18 denoting to in 5/18?

Ganesh said:   9 years ago
@Rohit Saluja.

When you consider relative velocity there is no need of knowing where the man is sitting and once you find out relative velocity the method of solving the problem is same as solving the problem of 'train passing a signal post or pole' so what they have given as solution is absolutely fine.

Budhiram said:   9 years ago
I also agree with you @Haritha.

It is not given that, where the man is sitting.

Sohag said:   9 years ago
The Slower train is 500/9.

Rohit Saluja said:   10 years ago
Hi, well in this question. We need the location where the man is sitting the slower train. So that we can find the distance which the faster train has to travel to cross the man sitting in slower train.

The solution to this assumes that the man is sitting at the end of the train. So in this case, length of slower train does not matter.

But assume if the man is sitting in middle of slower train, then faster train has to travel, it's own length plus half the length of slower train.

Vaishna.v said:   1 decade ago
I have cleared it in another way:

We have to calculate the length of faster train only.

The relative speed = (40-20) km/hr = 20 km/hr.

Let the length of the faster train be f.

Then, (f/20 km/hr) = 5.

20 km/hr = 20*5/18 s = 50/9 s.

(9f/50) = 5.

250/9 is the answer.


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